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Unit Rates (Grade 7)




 
Videos and lessons to help Grade 7 students learn how to compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour
.

Common Core: 7.RP.1

Suggested Learning Targets

  • I can compute unit rates of quantities associated with ratios of fractions (length, area, & other quantities).
  • I can use proportional relationships to solve real-world problems.
  • I can simplify a rate, unit rate, ratio by dividing.
  • I can compute unit rate as a complex fraction.

Related Topics:
Common Core for Grade 7, Common Core for Mathematics, More Lessons for Grade 7

Compute unit rates associated with ratios of fractions
7.RP.1: Ratios and Unit Rates
Quick instruction on ratios and how to calculate unit rates.
Finding Unit Rates by Simplifying Complex Fractions
This video demonstrates two methods of find a unit rate: algebraic and symbolic. This skill directly address CCSS.Math.Content.7.RP.A.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
William can run 1/2 of mile in 1/10 of an hour. How many miles can he run in one hour?



Ratios & Unit Rates.
Rate/Unit Rate word problems.


 
Unit Rate Word Problems
1) An amusement park had 350 people come in over the course of 7 hours. At this rate, how many would they expect to come over 15 hours? What was the rate per hour?
2) Sam can make 15 pizzas in 2.5 hours. At this rate, how many can he make in an 8 hour work day? What is Sam's rate per hour?
3) Over 5 days, Kimberly sheared 300 sheep. How many would she be able to shear in 26 days? What was he rate per day?

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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